GCD of 729, 269, 73, 669 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 729, 269, 73, 669 i.e. 1 largest integer that divides all the numbers equally.

GCD of 729, 269, 73, 669 is 1

GCD(729, 269, 73, 669) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 729, 269, 73, 669 is 1

GCD(729, 269, 73, 669) = 1

GCD of 729,269,73,669 Calculator

GCDof 729,269,73,669 is 1

Given Input numbers are 729, 269, 73, 669

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 729

List of positive integer divisors of 729 that divides 729 without a remainder.

1, 3, 9, 27, 81, 243, 729

Divisors of 269

List of positive integer divisors of 269 that divides 269 without a remainder.

1, 269

Divisors of 73

List of positive integer divisors of 73 that divides 73 without a remainder.

1, 73

Divisors of 669

List of positive integer divisors of 669 that divides 669 without a remainder.

1, 3, 223, 669

Greatest Common Divisior

We found the divisors of 729, 269, 73, 669 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 729, 269, 73, 669 is 1.

Therefore, GCD of numbers 729, 269, 73, 669 is 1

Finding GCD of 729, 269, 73, 669 using Prime Factorization

Given Input Data is 729, 269, 73, 669

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 729 is 3 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 269 is 269

Prime Factorization of 73 is 73

Prime Factorization of 669 is 3 x 223

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 729, 269, 73, 669 using LCM Formula

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(729, 269) = 196101

GCD(729, 269) = ( 729 x 269 ) / 196101

GCD(729, 269) = 196101 / 196101

GCD(729, 269) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 73

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 73) = 73

GCD(1, 73) = ( 1 x 73 ) / 73

GCD(1, 73) = 73 / 73

GCD(1, 73) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 669

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 669) = 669

GCD(1, 669) = ( 1 x 669 ) / 669

GCD(1, 669) = 669 / 669

GCD(1, 669) = 1

GCD of 729, 269, 73, 669 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 729, 269, 73, 669

1. What is the GCD of 729, 269, 73, 669?

GCD of 729, 269, 73, 669 is 1


2. Where do I get the detailed procedure to find GCD of 729, 269, 73, 669?

You can find a detailed procedure to find GCD of 729, 269, 73, 669 on our page.


3. How to find GCD of 729, 269, 73, 669 on a calculator?

You can find the GCD of 729, 269, 73, 669 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.